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ra1l [238]
3 years ago
14

Need help w/ angle 2

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0
The answer is 122°

I promise you're about have an "Aha" moment in just a second ;)

As we all know, a circle is a total of 360° all the way around. Another thing, if we look at the graph, the tick marks on the lines that go through the circle mean that they are both the same exact length. Since it is a singular angle formed where the two lines meet and the two lines are congruent, then that means the angles of the circle not listed on either side of those lines will be congruent.

Since, the total ° of a circle is 360°, we can subtract what we already have, (116°)

360° - 116° = 244°

Now, this is the combination of both of the angles, but we are only looking for one, so we divide 244 by 2.

244 ÷ 2 = 122

And that leaves us with ∠2 = 122°

Thank you for your question! I hope this helped! Have an amazing day!! :D
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what is the measure of the vertex angle of an isosceles triangle i’d one of its base angles measures 42°
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The measure of the vertex angle of the isosceles Δ is 96°

Step-by-step explanation:

In the isosceles triangle

  • Two sides are equal in lengths
  • The angle between the two equal sides is called vertex angle
  • The other two angles are called base angles
  • The base angles are equal in measure

∵ The measure of one of the base angles of an isosceles Δ = 42°

- The base angles are equal in measure

∴ The measure of the other base angle = 42°

∵ The sum of the measures of the interior angles of any Δ = 180°

∴ 42 + 42 + measure of the vertex angle = 180

∴ 84 + measure of the vertex angle = 180

- Subtract 84 from both sides

∴ measure of the vertex angle = 96°

The measure of the vertex angle of the isosceles Δ is 96°

Learn more:

You can learn more about the triangles in brainly.com/question/6530759

#LearnwithBrainly

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